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Finding the Third Proportional to 394,750.34 and 599,513.27

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Solution

The third proportional to 394,750.34 and 599,513.27 is: 910,489.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,750.34 : 599,513.27 = 599,513.27 : x
  2. Step 2: Convert to fraction form
    394,750.34/599,513.27 = 599,513.27/x
  3. Step 3: Cross multiply
    394,750.34x = 599,513.27 × 599,513.27
  4. Step 4: Simplify right side
    394,750.34x = 359,416,165,027.75
  5. Step 5: Solve for x
    x = 359,416,165,027.75/394,750.34
  6. Step 6: Final answer
    x = 910,489.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.